3897240480000 has 4050 divisors, whose sum is σ = 18876855039966. Its totient is φ = 794271744000.

The previous prime is 3897240479999. The next prime is 3897240480097. The reversal of 3897240480000 is 840427983.

It can be written as a sum of positive squares in 5 ways, for example, as 991824777216 + 2905415702784 = 995904^2 + 1704528^2 .

It is a tau number, because it is divible by the number of its divisors (4050).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 449 ways as a sum of consecutive naturals, for example, 205117919991 + ... + 205117920009.

Almost surely, 2^{3897240480000} is an apocalyptic number.

3897240480000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3897240480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9438427519983).

3897240480000 is an abundant number, since it is smaller than the sum of its proper divisors (14979614559966).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3897240480000 is an equidigital number, since it uses as much as digits as its factorization.

3897240480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 3897240480000 in words is "three trillion, eight hundred ninety-seven billion, two hundred forty million, four hundred eighty thousand".